Question

Prove
that root2
is
irrational.​

Answer 1

Answer:

the required proof is in the above image

Answer 2

Answer:

here's Ur answer buddy

√2 = p/q

2 = (p/q)^2

2 = p^2/q^2

p^2 = 2q^2

thus p^2 is even. the only way this can be true is that p itself is even . but then p^2 is actually divisible by 4 . hence q^2 and therefore q must be even . so p and q both are even which is a contradiction to our assumption that they have no common factors. the square root of 2 cannot be rational.

hope it helps u

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